6.EE.9 -- Graphing Stories -- http://graphingstories.com/ -- asks students to graph real life situations from a video. Site would be useful for understanding graphing of different types of relationships and might be good as an introduction to different function types.
Illustrative Mathematics Task
North Carolina's Lessons for Learning
Bake Sale Brownies (p. 3) - 6.RP.3, 6.EE.9
Paper Clip Comparisons (p. 13) - 6.RP.1, 6.RP.2, 6.EE.6, 6.EE.9